All Flashcards
What are the differences between Mean and Median?
Mean: Sensitive to outliers, best for symmetric data | Median: Resistant to outliers, best for skewed data.
What are the differences between Standard Deviation and IQR?
Standard Deviation: Measures spread using all data, sensitive to outliers | IQR: Measures spread of middle 50%, resistant to outliers.
What are the differences between Parameters and Statistics?
Parameters: Describe populations, usually unknown | Statistics: Describe samples, used to estimate parameters.
What are the differences between resistant and nonresistant measures?
Resistant: Not affected by outliers, e.g., median, IQR | Nonresistant: Affected by outliers, e.g., mean, standard deviation.
What are the differences between using the 1.5 x IQR rule and standard deviations method for identifying outliers?
- 5 x IQR: Based on quartiles, resistant to extreme values | Standard Deviations: Based on mean and standard deviation, sensitive to extreme values.
What is the definition of 'Mean'?
The average value, calculated by summing all values and dividing by the number of values.
What is the definition of 'Median'?
The middle value when data is ordered. If there's an even number of data points, it's the average of the two middle values.
What is the definition of 'Standard Deviation'?
A measure of how much individual data points vary from the mean.
What is the definition of 'IQR'?
The interquartile range, representing the range of the middle 50% of the data (Q3 - Q1).
What are outliers?
Data points that are unusually far from the rest of the data.
What is the formula for the mean ()?
What is the formula for Standard Deviation (s)?
What is the formula for IQR?
IQR = Q3 - Q1
How do you calculate the lower bound for outliers using the IQR method?
Q1 - 1.5 * IQR
How do you calculate the upper bound for outliers using the IQR method?
Q3 + 1.5 * IQR